Re: Idempotence and "Replication Insensitivity" are equivalent ?

pamelaflue..._at_libero.it wrote:
> vc ha scritto:>> Quantiles are invariant to monotonic transformations.> > So what ?>> What? You should decide.>> You have just pointed out that the median is not invariant wrt general> monotonic transformations (as the AVG) (you showed that using f=log),

Earlier, I said that the sample median regarded as an interval (50
percentile) *is* invariant under monotone transformations. Such
treatment is customary when monotone transformations matter. When they
do not, one can use a single value, for convenience, obtained as the
average of two endpoints. That value of course is *not* invariant
under monotonic transformations.

> and now you are saying that "Quantiles are invariant to monotonic> transformations". Do you realize these are conflicting statements?>> ?????> I give up to understand you.

Well, I cannot help with that..

>> Do not you think that before sarcastically suggesting other people (who> you do not know) to read some book should make sure you have> understanding of what you are talking about?